If f(x)= (1/7)(7^x) what is f(3)

Nickel = 0.05

Dime = 0.10

XNickels + YDimes = 3.25

0.05X + 0.1Y = 3.25

You could do this using trial and error.

You know the maximum amount of dimes you could have is 32. Because 32 * 0.1 = 3.20. If you had 33 dimes, you'd go over the limit.

You also know you need to have 48 coins. If you have 32 dimes and 1 nickel, you will not have 48 coins.

You can try any number below 32. I will try 16 because it's half of 32.

16 * 0.1 = 1.60

48 - 16 = 32 coins left

32 * 0.05 = 1.60

1.60 + 1.60 = 3.20

We're a nickel off, therefore we need to remove a nickel and add a dime.

17 * 0.1 = 1.70

48 - 17 = 31

31 * 0.05 = 1.55

1.70 + 1.55 = 3.25

Jessica has about 31 nickels, 17 dimes which is worth $3.25

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of nickels and y represent the number of dimes.

x + y = 48   (1)

Also:

0.05x + 0.1y = 3.25   (2)

x = 31, y = 17

Jessica has about 31 nickels, 17 dimes which is worth $3.25

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Answer:

See below.

Step-by-step explanation:

Part A: A system will have no solution when the graphs are parallel and do not intersect.

Part B: A system will have no solution when the equations have the exact same slope. The same slope means they are parallel and do not intersect. This is done easiest in slope-intercept form.

Answer:

The y axis

Step-by-step explanation:

Perpendicular means for a line to create a 90 degree angle, like it does on the y axis.

Hope this helps!

Final answer:

To find the result of 1/8 - 3/7 - 1/8, we need to find a common denominator for the fractions and then subtract them.

Explanation:

To find the result of 1/8 - 3/7 - 1/8, we need to apply the definition of subtraction and properties of operations. First, let's find a common denominator for the fractions. The common denominator for 8 and 7 is 56. Multiply the numerator and denominator of 1/8 by 7 to get 7/56. Multiply the numerator and denominator of 3/7 by 8 to get 24/56. Now subtract the fractions: (7/56) - (24/56) = -17/56. Finally, subtract 1/8 from -17/56. Multiply the numerator and denominator of 1/8 by 7 to get 7/56. Subtract the fractions: (-17/56) - (7/56) = -24/56.

Answer:

The answer for y=2x-4 would be...x=1/2y+2

Step-by-step explanation:

Step 1: Flip the equation.

2x-4=y

Step 2: Add 4 to both sides.

2x-4+4=y+4

2x=y+4

Step 3: Divide both sides by 2.

2x/2=y+4/2

x=1/2y+2

Answer:

(4,4)

Step-by-step explanation:

solve for the variable, then substitute

checked on calc and edge

please mark 5 stars when you get it right  so this is easier to find lol

Measurement data refers to numerical information gathered by quantifying objects or events, known as quantitative data. It contrasts with qualitative, or categorical data, which describes non-numeric attributes. Quantitative data can be further classified into discrete or continuous based on the nature of the measurement.

The term measurement data refers to data that quantifies objects or events. This type of data can be classified as either quantitative discrete or quantitative continuous, depending on whether the data can take on only integer values or any values within a continuous range. Therefore, another term for measurement data is A) quantitative data. Quantitative data is always expressed in numbers and includes measurements such as length, mass, and time.

For example, measuring the height of a plant in centimeters yields quantitative data because it provides a numerical measurement of the plant's height. Similarly, recording the number of books a person reads in a month gives quantitative data because it counts the books. This contrasts with qualitative or categorical data, which describes attributes or characteristics that cannot be measured numerically, such as the colors of houses or types of pets.

In summary, measurement data is best described as quantitative data because it involves numerical measurements or counts, making it essential for mathematical analysis and supporting scientific findings.

Formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat , where X represents the number of occurrence of desired event and n represents the specified of sample space.

" p hat is defined as the probability of the occurrence of random event to the specified sample space."

According to the definition,

p hat can be calculated using formula

[tex]p hat = \frac{X}{n}[/tex]

'X' represents the number of occurrence of the desired event

'n' represents the specified sample space.

p hat is nothing but the probability of finding specified sample size.

Hence, formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat.

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The mode is the value that appears most frequently in a set of data. In the provided data ($39.99, $44.99, $29.99, $35.99, and $31.99), each value appears only once, so this set has no mode.

The mode of a set of data is the value that appears most frequently. Taking into account the prices for a video game at five different stores, which are
$39.99, $44.99, $29.99, $35.99, and $31.99, we need to determine if any of these values appear more than once.

Since each price appears only once, there is no repeating value, therefore this set of data has no mode.

To understand the concept better, if we had a set of prices in which at least one price appears more than once, that repeating price would be considered the mode. For example, if we had the prices $29.99, $29.99, $35.99, $39.99, and $44.99, then the mode would be $29.99 because it appears twice.

Answer:

saving=150

spending=240

Step-by-step explanation:

390/13=30

savings=30*5

spending=30*8

Answer:

£150 saved; £240 spent.

Step-by-step explanation:

If the ratio of savings to spending is 5:8, we find the fractions representing the amount saved and the amount spent by adding up 5 and 8 and then forming fractions:

savings:  5/13

spending:  8/13

(5/13) of £390 is £150; this is the amount saved.

(8/13) of £390 is £240; this is the amount spent.

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➷The answer is that there is a right angle(90 degrees) and also there are three sides.

Explanation: Since all right triangles have a right angle, and also is a triangle, they have three sides and one is 90 degrees.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The common features of all the right angled triangles are the highest angle is the right angle (90°), Pythagorean theorem is applicable.

Any figure bounded by 3 sides and the sum of all the internal angles is 180° is called a angled triangle.

Any triangle whose one angle is 90° is called a right angled triangle.

The common features of all the right angled triangles are discussed below:

These are the common features.

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[tex]\bf \boxed{-5}\rule[0.35em]{5em}{0.25pt}0\rule[0.35em]{2em}{0.25pt}\stackrel{\stackrel{middle}{\downarrow }}{3.5}\rule[0.35em]{8.5em}{0.25pt}\boxed{12}[/tex]

Answer:

option B

28

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use

here n = 8

        r  = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)  

8C2

8! / 2! * (8 - 2)!

[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6!)}[/tex]

[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}[/tex]

[tex]\frac{8*7}2[/tex]

56/2

28

So, 8C2 = 28

The combination C(8, 2) in the given problem equals 28.

Mathematically, a combination refers to a selection of items from a larger set without regard to the order of selection. It is a way to count the number of different subsets or groups that can be formed from a given set.

In other words, a combination is a selection of r objects from a set of n distinct objects, where the order of selection is not considered. The number of combinations represented as C(n, r), represents the count of possible combinations.

It is known that C(n, r) = [tex]\frac{n!}{r!(n - r)!}[/tex],

So,

C(8, 2) = [tex]\frac{8!}{2!(8- 2)!}[/tex],

           = [tex]\frac{8!}{2!6!}[/tex]

           = [tex]\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{(2\times 1) (6\times 5\times 4\times 3\times 2\times 1)}[/tex]

           = 28.

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The table that best represents the relationship between the number of gallons purchased, g, and the amount paid for gas, m, will list m as multiples of $2.52 as per the linear relationship g: $2.52 * g.

Jimmy pays $2.52 for each gallon of gas. To find the best table representing the relationship between g, the number of gallons purchased, and m, the amount he pays for gas, we need to create a table where each entry form is the product of g and the price per gallon, which is $2.52.

For each gallon g, the total cost m would be:

For 1 gallon: m = 1 * $2.52 = $2.52

For 2 gallons: m = 2 * $2.52 = $5.04

For 3 gallons: m = 3 * $2.52 = $7.56

...and so on.

This pattern will continue since the relationship is linear, and the table representing it will list the total cost m corresponding to the number of gallons g based on this constant rate of $2.52 per gallon.

Answer: The answer without estimation is 1,519.76 but with estimation it’s 1,520 m.

Step-by-step explanation:

The formula for this situation is A = pi(or in this case 3.14) times the radius squared. If you know the formula then the rest is just to plug in and estimate if you have too.

Answer:

60 cubic feet.

Step-by-step explanation:

The fish are 0.5 per cubic foot. This means 1 fish occupies 2 cubic feet. So if there are 30 fishes then there must be 60 cubic feet.

Answer:Instead of dividing the diameter by two to get the radius, the coworker multiplied the diameter by two, getting a value of 340 feet for the radius. Here’s the incorrect calculation:

volume of a cylinder ≈ 3.14 × (radius)2 × height

= 3.14 × (340 ft)2 × (60 ft)

= 3.14 × (115,600 ft2) × (60 ft)

= 21,779,040 ft3

Step-by-step explanation:

Step-by-step explanation:

You would need how many square feet. Divide the amount of square feet of land by 3. That should be the answer if it divides evenly, if there is a decimal or a fraction after it then round up to the next whole number

Answer:

Paula needs to sod

3,855

square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3-square-foot pieces of sod she needs is

1,285

.

Step-by-step explanation:

The diagram shows one way to decompose this shape into two rectangles. One rectangle is 75 feet × 50 feet, and the other is 7 feet × 15 feet.

Answer:

not sure about the answers to all the other one but the answer to the 3rd question is y=1

                      3x or y=1/3x

ANSWER

18,600

EXPLANATION

The function that describes the altitude of the plane t minutes after starting its descent is

[tex]f(t) = 33600 - 1500t[/tex]

To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.

[tex]f(10) = 33600 - 1500(10)[/tex]

[tex]f(10) = 33600 - 15000[/tex]

[tex]f(10) = 18600[/tex]

Therefore the airplane's altitude after 10 minutes is 18,600 units.

Answer:

$3.38

Step-by-step explanation:

6.75/2= $3.375

Answer: $3.375

Step-by-step explanation:

Given : Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair.

Also, the cost of one meter of canvas = $6.75

Then, the cost of 0.5 meters is given by :-

[tex]0.5\times\$6.75\\\\=\$3.375[/tex]

Therefore, Sid will spend $3.375 on buying canvas material to make a carry all bag for his wheelchair..

Answer:

x = 2

Step-by-step explanation:

expand the brackets firstly,

so 12x-4 = 20

then add the -4 onto the other side

so 12x = 24

then divide 24 by 12 to get x

so x = 2

Answer:

A = 50.24 mm

Step-by-step explanation:

A = Pi*r^2

A = Pi*(4)^2

A = 16*Pi

A = 50.24 mm

Best regards

Answer:

50.24

Step-by-step explanation:

area of circle: (pi)r^2

r is the radius

given: r = 4

pi = 3.14

3.14(4)^2

3.14*16

50.24

Check the picture below.

Answer:

[tex]x=-72[/tex]

Step-by-step explanation:

The given equation is [tex]\sqrt[3]{x+8}=-4[/tex].

We cube both sides of this equation to obtain;

[tex](\sqrt[3]{x+8})^3=(-4)^3[/tex].

This implies that;

[tex](x+8)=-64[/tex]

We group similar terms to obtain;

[tex]x=-64-8[/tex]

We simplify the right hand side of the equation to obtain;

[tex]x=-72[/tex]

Therefore x=-72 is the solution of the given equation.

The equation 3 √x + 8 = -4 has no solution. The square root term, when isolated, shows a contradiction since the square root of a non-negative number multiplied by a positive constant cannot be negative.

The solution to the equation 3 √x + 8 = -4 involves finding the value of x for which the equation holds true. Given that √4 can be both 2 and -2, we explore the possibility of squaring both sides of an equation to solve for x. However, in this case, since the square root of a number cannot be negative and the original equation involves a square root on the left side, this hints at no solution being possible because the left side (involving the square root) will always be non-negative, and cannot equal a negative number.

Nevertheless, let's attempt to formally solve the equation. Isolating the square root term by subtracting 8 from both sides results in 3 √x = -12. At this point, we encounter a contradiction: the left side represents a non-negative value (since it's 3 times the square root of x), but the right side is negative. This confirms there are no real solutions to the equation because the square root of a non-negative number (x) cannot result in a negative value when multiplied by a positive constant (3).

Answer:

[tex]\boxed{\bold{y=30}}[/tex]

Step By Step Explanation:

[ Step One ] Subtract 15 From Both Sides

[tex]\bold{2y+15-15=4y-45-15}[/tex]

[ Step Two ] Simplify

[tex]\bold{2y=4y-60}[/tex]

[ Step Three ] Subtract 4y From Both Sides

[tex]\bold{2y-4y=4y-60-4y}[/tex]

[ Step Four ] Simplify

[tex]\bold{-2y=-60}[/tex]

[ Step Five ] Divide Both Sides By -2

[tex]\bold{\frac{-2y}{-2}=\frac{-60}{-2}}[/tex]

[ Step Six ] Simplify

[tex]\bold{y=30}[/tex]

Answer:

A and D are your answers

Step-by-step explanation:

Answer:

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 75

75 = 3 × 5 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 5

GCF = 15

I hope this helps! Please mark me as brainliest and have a nice day! (:

~abelxoconda

Step-by-step explanation:

⇒GCF OF 120:   2,2,2,3,5  

⇒GCF OF 75:   3,5,5

⇒GCF:   3,5  

Therefor, The Greatest Common Factor (GCF) is: 3×5=15

* Hopefully this helps, Mark me the brainliest:)

answer = 9.125

first i changed the mixed number to a percentage 73/8 and did 73 divided by 8 to get my decimal.

Answer:

45

Step-by-step explanation:

5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.

x-5 ≥ 40

x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)

∴x   ≥ 45

In other words, x is at least 45.

Therefore, the minimum value of x is 45.

Final answer:

The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.

Explanation:

To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.

Now, we solve the inequality step by step:

Add 5 to both sides: x - 5 + 5 ≥ 40 + 5

Simplify both sides: x ≥ 45

The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.

the answer is false, i hope this helps

Answer:

The given statement is false.

Step-by-step explanation:

Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.

Rather smart growth is defined as a well planned economic development and community development with an aim to curb urban fall out and reduce the worsening environmental conditions.